| /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com) | 
 |  * All rights reserved. | 
 |  * | 
 |  * This package is an SSL implementation written | 
 |  * by Eric Young (eay@cryptsoft.com). | 
 |  * The implementation was written so as to conform with Netscapes SSL. | 
 |  * | 
 |  * This library is free for commercial and non-commercial use as long as | 
 |  * the following conditions are aheared to.  The following conditions | 
 |  * apply to all code found in this distribution, be it the RC4, RSA, | 
 |  * lhash, DES, etc., code; not just the SSL code.  The SSL documentation | 
 |  * included with this distribution is covered by the same copyright terms | 
 |  * except that the holder is Tim Hudson (tjh@cryptsoft.com). | 
 |  * | 
 |  * Copyright remains Eric Young's, and as such any Copyright notices in | 
 |  * the code are not to be removed. | 
 |  * If this package is used in a product, Eric Young should be given attribution | 
 |  * as the author of the parts of the library used. | 
 |  * This can be in the form of a textual message at program startup or | 
 |  * in documentation (online or textual) provided with the package. | 
 |  * | 
 |  * Redistribution and use in source and binary forms, with or without | 
 |  * modification, are permitted provided that the following conditions | 
 |  * are met: | 
 |  * 1. Redistributions of source code must retain the copyright | 
 |  *    notice, this list of conditions and the following disclaimer. | 
 |  * 2. Redistributions in binary form must reproduce the above copyright | 
 |  *    notice, this list of conditions and the following disclaimer in the | 
 |  *    documentation and/or other materials provided with the distribution. | 
 |  * 3. All advertising materials mentioning features or use of this software | 
 |  *    must display the following acknowledgement: | 
 |  *    "This product includes cryptographic software written by | 
 |  *     Eric Young (eay@cryptsoft.com)" | 
 |  *    The word 'cryptographic' can be left out if the rouines from the library | 
 |  *    being used are not cryptographic related :-). | 
 |  * 4. If you include any Windows specific code (or a derivative thereof) from | 
 |  *    the apps directory (application code) you must include an acknowledgement: | 
 |  *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | 
 |  * | 
 |  * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | 
 |  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | 
 |  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | 
 |  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | 
 |  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | 
 |  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | 
 |  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | 
 |  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
 |  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | 
 |  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | 
 |  * SUCH DAMAGE. | 
 |  * | 
 |  * The licence and distribution terms for any publically available version or | 
 |  * derivative of this code cannot be changed.  i.e. this code cannot simply be | 
 |  * copied and put under another distribution licence | 
 |  * [including the GNU Public Licence.] | 
 |  */ | 
 | /* ==================================================================== | 
 |  * Copyright (c) 1998-2006 The OpenSSL Project.  All rights reserved. | 
 |  * | 
 |  * Redistribution and use in source and binary forms, with or without | 
 |  * modification, are permitted provided that the following conditions | 
 |  * are met: | 
 |  * | 
 |  * 1. Redistributions of source code must retain the above copyright | 
 |  *    notice, this list of conditions and the following disclaimer. | 
 |  * | 
 |  * 2. Redistributions in binary form must reproduce the above copyright | 
 |  *    notice, this list of conditions and the following disclaimer in | 
 |  *    the documentation and/or other materials provided with the | 
 |  *    distribution. | 
 |  * | 
 |  * 3. All advertising materials mentioning features or use of this | 
 |  *    software must display the following acknowledgment: | 
 |  *    "This product includes software developed by the OpenSSL Project | 
 |  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | 
 |  * | 
 |  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | 
 |  *    endorse or promote products derived from this software without | 
 |  *    prior written permission. For written permission, please contact | 
 |  *    openssl-core@openssl.org. | 
 |  * | 
 |  * 5. Products derived from this software may not be called "OpenSSL" | 
 |  *    nor may "OpenSSL" appear in their names without prior written | 
 |  *    permission of the OpenSSL Project. | 
 |  * | 
 |  * 6. Redistributions of any form whatsoever must retain the following | 
 |  *    acknowledgment: | 
 |  *    "This product includes software developed by the OpenSSL Project | 
 |  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)" | 
 |  * | 
 |  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | 
 |  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | 
 |  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | 
 |  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR | 
 |  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | 
 |  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | 
 |  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
 |  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | 
 |  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | 
 |  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | 
 |  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | 
 |  * OF THE POSSIBILITY OF SUCH DAMAGE. | 
 |  * ==================================================================== | 
 |  * | 
 |  * This product includes cryptographic software written by Eric Young | 
 |  * (eay@cryptsoft.com).  This product includes software written by Tim | 
 |  * Hudson (tjh@cryptsoft.com). | 
 |  * | 
 |  */ | 
 | /* ==================================================================== | 
 |  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | 
 |  * | 
 |  * Portions of the attached software ("Contribution") are developed by | 
 |  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. | 
 |  * | 
 |  * The Contribution is licensed pursuant to the Eric Young open source | 
 |  * license provided above. | 
 |  * | 
 |  * The binary polynomial arithmetic software is originally written by | 
 |  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems | 
 |  * Laboratories. */ | 
 |  | 
 | #ifndef OPENSSL_HEADER_BN_INTERNAL_H | 
 | #define OPENSSL_HEADER_BN_INTERNAL_H | 
 |  | 
 | #include <openssl/base.h> | 
 |  | 
 | #if defined(OPENSSL_X86_64) && defined(_MSC_VER) | 
 | OPENSSL_MSVC_PRAGMA(warning(push, 3)) | 
 | #include <intrin.h> | 
 | OPENSSL_MSVC_PRAGMA(warning(pop)) | 
 | #pragma intrinsic(__umulh, _umul128) | 
 | #endif | 
 |  | 
 | #include "../internal.h" | 
 |  | 
 | #if defined(__cplusplus) | 
 | extern "C" { | 
 | #endif | 
 |  | 
 | /* bn_expand acts the same as |bn_wexpand|, but takes a number of bits rather | 
 |  * than a number of words. */ | 
 | BIGNUM *bn_expand(BIGNUM *bn, size_t bits); | 
 |  | 
 | #if defined(OPENSSL_64_BIT) | 
 |  | 
 | #if !defined(_MSC_VER) | 
 | /* MSVC doesn't support two-word integers on 64-bit. */ | 
 | #define BN_ULLONG	uint128_t | 
 | #endif | 
 |  | 
 | #define BN_BITS2	64 | 
 | #define BN_BYTES	8 | 
 | #define BN_BITS4	32 | 
 | #define BN_MASK2	(0xffffffffffffffffUL) | 
 | #define BN_MASK2l	(0xffffffffUL) | 
 | #define BN_MASK2h	(0xffffffff00000000UL) | 
 | #define BN_MASK2h1	(0xffffffff80000000UL) | 
 | #define BN_MONT_CTX_N0_LIMBS 1 | 
 | #define BN_TBIT		(0x8000000000000000UL) | 
 | #define BN_DEC_CONV	(10000000000000000000UL) | 
 | #define BN_DEC_NUM	19 | 
 | #define TOBN(hi, lo) ((BN_ULONG)(hi) << 32 | (lo)) | 
 |  | 
 | #elif defined(OPENSSL_32_BIT) | 
 |  | 
 | #define BN_ULLONG	uint64_t | 
 | #define BN_BITS2	32 | 
 | #define BN_BYTES	4 | 
 | #define BN_BITS4	16 | 
 | #define BN_MASK2	(0xffffffffUL) | 
 | #define BN_MASK2l	(0xffffUL) | 
 | #define BN_MASK2h1	(0xffff8000UL) | 
 | #define BN_MASK2h	(0xffff0000UL) | 
 | /* On some 32-bit platforms, Montgomery multiplication is done using 64-bit | 
 |  * arithmetic with SIMD instructions. On such platforms, |BN_MONT_CTX::n0| | 
 |  * needs to be two words long. Only certain 32-bit platforms actually make use | 
 |  * of n0[1] and shorter R value would suffice for the others. However, | 
 |  * currently only the assembly files know which is which. */ | 
 | #define BN_MONT_CTX_N0_LIMBS 2 | 
 | #define BN_TBIT		(0x80000000UL) | 
 | #define BN_DEC_CONV	(1000000000UL) | 
 | #define BN_DEC_NUM	9 | 
 | #define TOBN(hi, lo) (lo), (hi) | 
 |  | 
 | #else | 
 | #error "Must define either OPENSSL_32_BIT or OPENSSL_64_BIT" | 
 | #endif | 
 |  | 
 |  | 
 | #define STATIC_BIGNUM(x)                                    \ | 
 |   {                                                         \ | 
 |     (BN_ULONG *)(x), sizeof(x) / sizeof(BN_ULONG),          \ | 
 |         sizeof(x) / sizeof(BN_ULONG), 0, BN_FLG_STATIC_DATA \ | 
 |   } | 
 |  | 
 | #if defined(BN_ULLONG) | 
 | #define Lw(t) (((BN_ULONG)(t))&BN_MASK2) | 
 | #define Hw(t) (((BN_ULONG)((t)>>BN_BITS2))&BN_MASK2) | 
 | #endif | 
 |  | 
 | /* bn_set_words sets |bn| to the value encoded in the |num| words in |words|, | 
 |  * least significant word first. */ | 
 | int bn_set_words(BIGNUM *bn, const BN_ULONG *words, size_t num); | 
 |  | 
 | BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); | 
 | BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); | 
 | void     bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); | 
 | BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); | 
 | BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); | 
 |  | 
 | void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); | 
 | void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b); | 
 | void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a); | 
 | void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a); | 
 |  | 
 | /* bn_cmp_words returns a value less than, equal to or greater than zero if | 
 |  * the, length |n|, array |a| is less than, equal to or greater than |b|. */ | 
 | int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n); | 
 |  | 
 | /* bn_cmp_words returns a value less than, equal to or greater than zero if the | 
 |  * array |a| is less than, equal to or greater than |b|. The arrays can be of | 
 |  * different lengths: |cl| gives the minimum of the two lengths and |dl| gives | 
 |  * the length of |a| minus the length of |b|. */ | 
 | int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl); | 
 |  | 
 | int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, | 
 |                 const BN_ULONG *np, const BN_ULONG *n0, int num); | 
 |  | 
 | uint64_t bn_mont_n0(const BIGNUM *n); | 
 | int bn_mod_exp_base_2_vartime(BIGNUM *r, unsigned p, const BIGNUM *n); | 
 |  | 
 | #if defined(OPENSSL_X86_64) && defined(_MSC_VER) | 
 | #define BN_UMULT_LOHI(low, high, a, b) ((low) = _umul128((a), (b), &(high))) | 
 | #endif | 
 |  | 
 | #if !defined(BN_ULLONG) && !defined(BN_UMULT_LOHI) | 
 | #error "Either BN_ULLONG or BN_UMULT_LOHI must be defined on every platform." | 
 | #endif | 
 |  | 
 | /* bn_mod_inverse_prime sets |out| to the modular inverse of |a| modulo |p|, | 
 |  * computed with Fermat's Little Theorem. It returns one on success and zero on | 
 |  * error. If |mont_p| is NULL, one will be computed temporarily. */ | 
 | int bn_mod_inverse_prime(BIGNUM *out, const BIGNUM *a, const BIGNUM *p, | 
 |                          BN_CTX *ctx, const BN_MONT_CTX *mont_p); | 
 |  | 
 | /* bn_mod_inverse_secret_prime behaves like |bn_mod_inverse_prime| but uses | 
 |  * |BN_mod_exp_mont_consttime| instead of |BN_mod_exp_mont| in hopes of | 
 |  * protecting the exponent. */ | 
 | int bn_mod_inverse_secret_prime(BIGNUM *out, const BIGNUM *a, const BIGNUM *p, | 
 |                                 BN_CTX *ctx, const BN_MONT_CTX *mont_p); | 
 |  | 
 |  | 
 | #if defined(__cplusplus) | 
 | }  /* extern C */ | 
 | #endif | 
 |  | 
 | #endif  /* OPENSSL_HEADER_BN_INTERNAL_H */ |